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Simplifying -1(5a + 8) + -4(a + -7) = 0 Reorder the terms: -1(8 + 5a) + -4(a + -7) = 0 (8 * -1 + 5a * -1) + -4(a + -7) = 0 (-8 + -5a) + -4(a + -7) = 0 Reorder the terms: -8 + -5a + -4(-7 + a) = 0 -8 + -5a + (-7 * -4 + a * -4) = 0 -8 + -5a + (28 + -4a) = 0 Reorder the terms: -8 + 28 + -5a + -4a = 0 Combine like terms: -8 + 28 = 20 20 + -5a + -4a = 0 Combine like terms: -5a + -4a = -9a 20 + -9a = 0 Solving 20 + -9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -9a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -9a = 0 + -20 -9a = 0 + -20 Combine like terms: 0 + -20 = -20 -9a = -20 Divide each side by '-9'. a = 2.222222222 Simplifying a = 2.222222222
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